522474818400 has 720 divisors, whose sum is σ = 1978223385600. Its totient is φ = 134052019200.

The previous prime is 522474818329. The next prime is 522474818441. The reversal of 522474818400 is 4818474225.

522474818400 is a `hidden beast` number, since 5 + 22 + 474 + 81 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×522474818400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 399750547 + ... + 399751853.

It is an arithmetic number, because the mean of its divisors is an integer number (2747532480).

Almost surely, 2^522474818400 is an apocalyptic number.

522474818400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522474818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989111692800).

522474818400 is an abundant number, since it is smaller than the sum of its proper divisors (1455748567200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

522474818400 is a wasteful number, since it uses less digits than its factorization.

522474818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 522474818400 in words is "five hundred twenty-two billion, four hundred seventy-four million, eight hundred eighteen thousand, four hundred".